Let F/F+ be a
CM extension of number fields, and let denote the non-trivial character of the Galois group of F/F+. The
classical relative class number formula gives the following
relation between the value of the L-function of at 0 and
the
relative class number h-:

where , Q is the so-called Q-index, and w(F)is the number of roots of unity in F. The purpose of the talk is to
describe analogs of this formula relating the values for an odd integer to the orders of relative motivic
cohomology groups and K-groups.